100022110102096 has 240 divisors, whose sum is σ = 244461557208960. Its totient is φ = 39294994959360.

The previous prime is 100022110102093. The next prime is 100022110102097. The reversal of 100022110102096 is 690201011220001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100022110102096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022110102091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852593875 + ... + 852711181.

It is an arithmetic number, because the mean of its divisors is an integer number (1018589821704).

Almost surely, 2^{100022110102096} is an apocalyptic number.

100022110102096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022110102096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122230778604480).

100022110102096 is an abundant number, since it is smaller than the sum of its proper divisors (144439447106864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022110102096 is a wasteful number, since it uses less digits than its factorization.

100022110102096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117922 (or 117909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 100022110102096 its reverse (690201011220001), we get a palindrome (790223121322097).

The spelling of 100022110102096 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred two thousand, ninety-six".